Know any alternative function names?

Question

I know $e^x$ can be written as $exp(x)$ and $ln(x)$ can be written as $log_e(x)$. I wanted to know whether there are any alternative names/syntax for $sinh(x)$, $cosh(x)$, $|x|$, $|Re(z) + iIm(z)|$, etc. Alternate names for other functions are also welcome in the answers.

Answer 1

Inverse trig functions have several alternate notations, e.g. $\tan^{-1}$, $\text{Tan}^{-1}$, $\arctan$, $\text{atan}$.